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36765901 = 376131621
BaseRepresentation
bin1000110001000…
…0000011001101
32120011220100001
42030100003031
533403002101
63352004301
7624335134
oct214200315
976156301
1036765901
1119831847
1210390691
137803793
144c5091b
153363901
hex23100cd

36765901 has 8 divisors (see below), whose sum is σ = 37844504. Its totient is φ = 35691840.

The previous prime is 36765877. The next prime is 36765923. The reversal of 36765901 is 10956763.

It can be written as a sum of positive squares in 4 ways, for example, as 5517801 + 31248100 = 2349^2 + 5590^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 3-Lehmer number, since φ(36765901) divides (36765901-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 36765901 - 213 = 36757709 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a deceptive number, since it divides R36765900.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36765991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21871 + ... + 23491.

It is an arithmetic number, because the mean of its divisors is an integer number (4730563).

It is a Poulet number, since it divides 236765900-1.

Almost surely, 236765901 is an apocalyptic number.

It is an amenable number.

36765901 is a deficient number, since it is larger than the sum of its proper divisors (1078603).

36765901 is a wasteful number, since it uses less digits than its factorization.

36765901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271.

The product of its (nonzero) digits is 34020, while the sum is 37.

The square root of 36765901 is about 6063.4891770333. The cubic root of 36765901 is about 332.5179322117.

The spelling of 36765901 in words is "thirty-six million, seven hundred sixty-five thousand, nine hundred one".

Divisors: 1 37 613 1621 22681 59977 993673 36765901